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Finding the Fourth Proportional to 5,143.44, 7,098 and 2,785.64

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Solution

The fourth proportional to 5,143.44, 7,098 and 2,785.64 is: 3,844.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.44 : 7,098 = 2,785.64 : x
  2. Step 2: Convert to fraction form
    5,143.44/7,098 = 2,785.64/x
  3. Step 3: Cross multiply
    5,143.44x = 7,098 × 2,785.64
  4. Step 4: Simplify right side
    5,143.44x = 19,772,472.72
  5. Step 5: Solve for x
    x = 19,772,472.72/5,143.44
  6. Step 6: Final answer
    x = 3,844.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.